# Frequency Spectrum Analysis

How do you find the phase and inverse Fourier transform of this frequency spectrum?

• Is this a homework assignment? Jun 23 '14 at 19:15
• no it isn't.... Jun 23 '14 at 19:18
• The spectrum is usually complex. Sometimes the definition implies "magnitude", which is real, but in that case it would be positive. Perhaps you could clear this up a little from the context of the book? In this meant to be a Fourier representation of a signal which happens to be purely real? Jun 23 '14 at 22:45

1. The magnitude is given by ${\left| X \left( f \right) \right|}$ hence it is 6.
• The magnitude is $|X(f)|$, not $|X(f)|^2$ (which is the squared magnitude). So its value is 6, not 36. Jun 24 '14 at 7:43